Technical Field
[0001] The present invention relates to a CT system for quantitatively determining bone
mineral mass. More particularly, the present invention relates to a CT system for
quantitively determining bone mineral mass by a method, comprising scanning an objective
region together with plural samples produced by mixing a water equivalent material
(a material having the same X-ray transmission rate as that of water) with various
ratios of a standard material equivalent to bone mineral mass (a material having the
same X-ray transmission rate as that of bone mineral mass) and determining the bone
mineral density (BMD) of the objective region with reference to the CT numbers of
the plural samples with various densities of the standard material equivalent to bone
mineral mass.
Background Art
[0002] Quantitative determination of bone mineral mass is used for diagnosis of osteoporosis
and the like.
[0003] Quantitative determination of bone mineral mass in bone marrow as an objective region
will be outlined hereinbelow.
[0004] As shown in Fig. 8, phantom P is placed below the waist of a subject. Then, scanning
with a CT scanner yields the image data of the cross section including the bone marrow
(for example, the third lumbar vertebrae) and the phantom P. Herein, the phantom P
contains plural sample rods S1, S2,····, produced by mixing a water equivalent material
having the same X-ray transmission rate as that of water with various ratios of a
standard material equivalent to bone mineral mass which has the same X-ray transmission
rate as that of bone mineral mass.
[0005] Then, detecting CT numbers A1, A2, ···· of the sample rods S1, S2, ···· in the cross
sectional image data, a linear regression "e" representing the relation between the
CT number and the bone mineral density of the standard material equivalent to bone
mineral mass as shown in Fig. 9 is calculated on the basis of the CT numbers A1, A2,
···· and the densities of the standard material equivalent to bone mineral mass in
the sample rods S1, S2, ····. The X axis represents bone mineral density, while the
y axis represents CT number.
[0006] Then, detecting the CT number of the bone marrow as the objective region in the cross
sectional image date, the bone mineral density of the bone marrow is calculated on
the basis of the detected CT number and the linear regression "e". Such a CT system
is for example known from the french patent application FR-A-2 659 697.
[0007] As illustrated in Fig. 10, however, the bone mineral density calculated on the basis
of the linear regression "e" is sometimes inconsistent with the true value.
[0008] For example, a linear regression generated from scanning at an X-ray tube voltage
of 80 kV is designated "e80"; the CT number of bone marrow is designated "Aq80"; and
the bone mineral density derived from these is designated "x80". Alternatively, a
linear regression generated from scanning at an X-ray tube voltage of 140 kV is designated
"e140"; the CT number of bone marrow is designated "Aq140"; and the bone mineral density
derived from these is designated "x140". Then, the bone mineral density "xt", which
should be constant irrespective to the difference in tube voltage, is actually not
constant as illustrated in x80 < x140. Such results may possibly be due to some error
factors. Therefore, since the decrease in CT number due to fat may be one of such
error factors, the shift of measured bone mineral density from the true bone mineral
density "xt" at each tube voltage is calculated while the decrease in CT number due
to fat is designated "af". Then, x80 should be more than x140, as shown in Fig. 11,
which is not consistent with the above results shown in Fig. 10. Thus, such calculation
of bone mineral density as shown in Fig. 10 may possibly contain a certain error factor
other than fat, but the factor has not been identified yet. Hence, the error factor
due to fat has not been excluded either.
Disclosure of Invention
[0009] Thus, the objective of the present invention is to provide a modified CT system for
quantitatively determining bone mineral mass to obtain more accurate bone mineral
density.
[0010] A CT system in accordance with the present invention comprises a phantom which includes
a sample rod of one kind of a standard material and a plural number of sample rods
respectively having different densities of bone mineral equivalent materials mixed
with water equivalent material, means for scanning a patient body with said phantom,
comprising an x-ray tube, means for detecting a CT number of an objective region of
said patient body and CT numbers of the sample rods of said phantom, means for determining
the relationship between the CT numbers and the bone mineral densities based on the
equivalent bone mineral densities and the detected CT numbers of said sample rods
respectively having different densities of the bone mineral equivalent materials,
and means for correcting the relationship between the CT numbers and the bone mineral
densities by using the detected CT number of said sample rod of one kind of standard
material and substituting the CT number derived from the water equivalent material
and contained in the CT number of each of the plural number of sample rods with the
CT number of the one kind of standard material, wherein the one kind of standard material
is blood or a blood equivalent material.
[0011] Another CT system in accordance with the present invention comprises a phantom which
includes a plural number of sample rods respectively having different densities of
bone mineral equivalent materials mixed with water equivalent material, means for
scanning a patient body with said phantom, comprising an x-ray tube, means for detecting
a CT number of an objective region of said patient body and CT numbers of the sample
rods of said phantom, means for determining the relationship between the CT numbers
and the bone mineral densities based on the equivalent bone mineral densities and
the detected CT numbers of said sample rods respectively having different densities
of the bone mineral equivalent materials, and means for correcting the relationship
between the CT numbers and the bone mineral densities by using a CT number of blood
detected from said patient body and substituting the CT number derived from the water
equivalent material and contained in the CT number of each of the plural number of
sample rods with the CT number of blood detected from said patient body.
[0012] The primary component in soft tissues in human bodies and the like is blood, which
is the case with bone marrow as the objective region for quantitative determination
of bone mineral mass. Therefore, according to the CT system in accordance with the
present invention, corrected CT number of each of plural samples with various densities
of a standard material equivalent to bone mineral mass is calculated by substituting
the CT number derived from a water equivalent material and contained in the Ct number
of each of the samples with the CT number of blood or a standard material equivalent
to blood in the cross sectional image data generated from scanning.
[0013] Because the corrected CT number of each of the samples is a value corrected for blood
or a standard material equivalent to blood so as to more accurately reproduce a soft
tissue as the objective region, more accurate bone mineral density can be obtained
by determining the bone mineral density of the objective region based on the corrected
CT number of each of the samples.
[0014] Furthermore, such corrected CT numbers are obtained at plural levels of tube voltage,
to determine the bone mineral density of the objective region while correcting the
shift in CT number due to fat and the like. Therefore, more accurate value of bone
mineral density is yielded.
Brief Description of Drawings
[0015]
Fig. 1 is a flow chart representing the procedures of a method for quantitatively
determining bone mineral mass in accordance with the CT system of the present invention;
Fig. 2 is an illustration depicting a phantom to be used in accordance with the present
invention;
Fig. 3 is an illustration depicting a cross sectional image in accordance with the
present invention;
Fig. 4 is an illustration depicting a linear regression in accordance with the present
invention;
Fig. 5 is an illustration depicting linear regressions in accordance with the present
invention;
Fig. 6 is a flow chart representing the procedures of another method in accordance
with the CT system of the present invention;
Fig. 7 is a block diagram depicting a CT system for quantitatively determining bone
mineral mass in accordance with the present invention;
Fig. 8 is an illustration representing a phantom to be used for quantitatively measuring
bone mineral mass in accordance with the present invention;
Fig. 9 is an illustration depicting a linear regression by the conventional method
for quantitatively determining bone mineral mass;
Fig. 10 is an illustration depicting linear regressions by the conventional method
for quantitatively determining bone mass; and
Fig. 11 is a schematic view of the error due to fat by the method for quantitatively
determining bone mineral mass.
Best Mode for Carrying Out the Invention
[0016] The present invention will now be described in examples as shown in the figures,
but the invention is not limited to the examples.
[0017] Fig. 7 is a block diagram depicting CT system 1 for quantitatively determining bone
mineral mass in one example in accordance with the present invention. X-ray tube 3
and detector 4, both placed in gantry 2, are integrally rotated with gantry rotation
system 7. The detector 4 detects the intensity of X-ray transmitted through subject
K. X-ray generation control circuit 5 is connected to x-ray tube 3, to control X-ray
generation and the cessation thereof and to control the tube voltage of X-ray tube.
Detector control circuit 6 controls the timing to operate detector 4. Table 8 is for
placing the subject K, and is linearly movable with table movable unit 9. Data collection
unit 10 collects projection data from the detector 4. Image reconstitution unit 11
reconstitutes an image based on the projection data from the data collection unit
10, to output cross sectional image data. On the basis of the cross sectional image
date obtained by the image reconstitution unit 11, bone mineral counter unit 12 is
for carrying out the procedures of the present invention as described hereinafter
to count the bone mineral density of an objective region. Data storage unit 13 stores
the cross sectional image data from the image reconstitution unit 11 together with
the data counted with the bone mineral counter unit 12. Display unit 14 displays a
cross sectional image on the basis of the cross sectional image data from the image
reconstitution unit 11, as well as the bone mineral density of the objective region
on the basis of the data counted with the bone mineral counter unit 12. System control
unit 20 transfers and receives necessary signals to and from X-ray generation control
circuit 5, detector control circuit 6, gantry rotation unit 7, table movable unit
9, data collection unit 10, image reconstitution unit 11, bone mineral count unit
12, data storage unit 13, and display unit 14. Operation unit 30 is for an operator
to input commands and the like.
[0018] Fig. 2 is an illustrative figure of a phantom to be used for the quantitative determination
of bone mineral mass in one example in accordance with the present invention. The
phantom P contains plural sample rods S1, S2,····, produced by mixing a water equivalent
material having the same X-ray transmission rate as that of water with various ratios
of a standard material equivalent to bone mineral mass which has the same X-ray transmission
rate as that of bone mineral mass. Among the plural sample rods being composed of
a water equivalent material as the base material and having different densities of
a standard material equivalent to bone mineral mass, sample rod S1 is a sample rod
with the lowest density, where the density of the standard material equivalent to
bone mineral mass is 0 mg/cc (namely, containing only the water equivalent material).
The standard material equivalent to bone mineral mass is, for example, calcium hydroxyapatite,
potassium hydrogen phosphate, calcium carbonate and the like. The phantom P also contains
sample rod "Sr" of a standard material equivalent to blood, having the same X-ray
transmission rate as that of blood.
[0019] Fig. 1 is a flow chart representing the procedures of a method for quantitatively
determining bone mineral mass in one example in accordance with the CT system of the
present invention. Following the flow chart of Fig. 1, explanation will now be made
hereinbelow of a specific example where the objective region is the third lumbar vertebrae.
[0020] Phantom P is placed below the waist of subject K. Then, after an operator determines
the position of the cross section including his (or her) bone marrow (for example,
the third lumbar vertebrae) and the phantom P, the following procedures will be carried
out when an operator directs to commence the quantitative determination of bone mineral
mass through operation unit 30.
[0021] At step D1, scanning of the determined scanning cross section is effected, to obtain
cross sectional image data. Fig. 3 depicts an illustrative figure of the cross sectional
image from the cross sectional image data. "h" represents the image of the waste contour;
and "q" represents the image of the third lumbar vertebrae. Furthermore, "r" represents
the image of aorta.
[0022] At step D2, detection is made of the CT numbers of the sample rods S1, S2, ···· having
different densities of the standard material equivalent to bone mineral mass from
the cross sectional image data.
[0023] At step D3, detection is made of the CT number of blood or a standard material equivalent
to blood. That is to say, detection is made of the CT number "Ar" either of blood
"r" in aorta or of the sample rod "Sr" of the standard material equivalent to blood
in the cross sectional image data. For detecting the CT number of blood in aorta,
the sample rod "Sr" is not necessary.
[0024] At step D4, calculation is made of corrected values B1, B2, ····, of the CT numbers
A1, A2, ····, on the basis of the following equation;

wherein "ρi" is the density of the standard material equivalent to bone mineral mass
in the sample rod "Si"; "ρw" is the density ρ1 of the water equivalent material, ie.
sample rod S1; and i=1,2,····. The procedure is for calculating corrected CT number
"Bi" of each CT number "Ai" of a sample, by substituting the CT number due to the
water equivalent material, contained in the CT number "Ai", with the CT number of
blood or the standard material equivalent to blood in the cross sectional image data
obtained by scanning.
[0025] At step D5, on the basis of the corrected CT numbers B1, B2, ···· from such calculation
and the known densities ρ1, ρ2, ····, of the standard material equivalent to bone
mineral mass, calculation should be done of a linear regression F:

, as shown in Fig. 4, representing the relation between the corrected CT number and
the bone mineral density of the standard material equivalent to bone mineral mass,
following least squares method. In the figure, x axis represents bone mineral density,
while y axis represents CT number. Herein, the y axial intercept "H" corresponds to
CT number "Ar" within the error range, while "G" represents linear slope.
[0026] At step D6, the CT number "Aq" of the third lumbar vertebrae "q" is detected.
[0027] At step D7, the bone mineral density of the third lumbar vertebrae "q" is determined
on the basis of the CT number "Aq" of the third lumbar vertebrae "q" and the linear
regression "F", as follows;

[0028] From the results of the above steps D1 to D7, the shift of the bone mineral density
X due to the difference in tube voltage is small, compared with the conventional method,
which enables more precise determination of bone mineral density.
[0029] The effect will now be explained with reference to Fig. 5 showing the results of
the measurements at different levels of tube voltage, ie. 80 kV and 140 kV. In the
figure, "F80" is a linear regression:

, from the scanning at a tube voltage of 80 kV; "Aq80" is the CT number of the objective
region (third lumbar vertebrae "q") at the scanning; and "x80" is the bone mineral
density obtained from them. Also, "F140", "Aq80" and "x140" are a linear regression

, the CT number and the bone mineral density, respectively, obtained at a tube voltage
of 140 kV, wherein the sets of "H80" and "G80" and of "H140" and "G140" represent
a set of y axial intercept and linear slope of the linear regressions "F80" and "F140",
respectively. In the figure, linear regressions depicted in two dot chain line, "f80"
and "f140", are calculated for comparison, using the CT number "Ai" of each sample
as it is, without using corrected CT number "Bi" of each sample, and these correspond
to the linear regressions "e80" and "e140" obtained by the conventional method (see
Fig. 9).
[0030] According to the results from the steps D1 to D7, the variation of bone mineral density
between "x80" and "x140" due to the difference in tube voltage is small, compared
with the conventional method. As has been described above, the error is small even
if the density is measured at any tube voltage, so that more precise measurement of
bone mineral density is realized with correction of the error factor due to blood.
[0031] Furthermore, the order of the steps D2 and D3 may be exchanged in the above procedures,
and these steps may be placed intermediately from the step D1 to the step D4. Also,
the step D6 may be placed at any position from the step D1 and the step D7.
[0032] From the results described above, the bone mineral densities measured are then X80
> x140. The error has an identical tendency to the shift of the CT number due to a
fat factor. Therefore, by effecting the steps D1 to D6 at different two levels of
tube voltage, Ej (j=1,2) and effecting the other step D70 using the two results instead
of the step D7 to correct the decrease in CT number due to fat, bone mineral density
can be measured at a higher precision.
[0033] The detailed explanation will be made hereinbelow with reference to the flow chart
in Fig. 6. In this case, phantom P contains sample rod "Sf" of a standard material
equivalent to fat, in addition to the sample rods, S1, S2, ···· and the sample rod
"Sr" of a standard material equivalent to blood.
[0034] As has been described above, the phantom P is placed below the waist of subject K,
and then, after the third lumbar vertebrae is determined as a scanning cross section,
the procedure will be carried out when an operator directs to commence the quantitative
determination of bone mineral mass through operation unit 30.
[0035] Step D1 is carried out at different two levels of tube voltage, ie. E1 and E2. That
is, by effecting scanning of the cross section to be scanned at different two levels
of tube voltage, E1 and E2, two cross sectional image data are obtained. The two levels
of scanning should preferably be done at a close interval so as to decrease the positional
shift of the two images.
[0036] Step D2 is effected of the two cross sectional image data. In the individual two
cross sectional image data, the CT numbers of sample rods, S1, S2, S3, ····, ie. A1j,
A2j, S3j, ···· (j=1,2) are detected.
[0037] For the two cross sectional image data, step D3 is effected to detect the CT number
of blood or a standard material equivalent to blood. That is, the CT number "Ar1"
either of aorta "r" or of the sample rod "Sr" of the standard material equivalent
to blood is detected in the cross sectional image data at the tube voltage E1; in
such manner, the CT number "Ar2" is detected at the tube voltage E2. When the CT number
of blood in aorta "r" is to be detected, the sample rod "Sr" of the standard material
equivalent to blood is not required.
[0038] Step D4 is effected on the data based on the two levels of tube voltage. That is,
the corrected CT numbers B1j, B2j, B3j, ···· (j=1,2) of the CT numbers A1j, A2j, A3j,
···· at a tube voltage Ej (j=1,2) are calculated as follows;

That is, the calculation is done on the basis of the equation;

wherein "ρi" represents the density of the standard material equivalent to bone mineral
mass in sample rod "Si"; and "ρw" represents the density ρ1 of the water equivalent
material, namely, sample rod S1. Herein, "i" is the number of sample rod and i = 1,
2, 3, ···· ; and "j" represents two levels of tube voltage and j = 1,2.
[0039] Step D5 is effected on the two data sets (j = 1,2). That is, based on the corrected
CT numbers B1j, B2j, B3j, ···· in calculation and the known densities ρ1, ρ2, ρ3,
···· of the standard material equivalent to bone mineral mass for the two data sets,
two linear regressions representing the relation between the corrected CT number and
the bone mineral density of the standard material equivalent to bone mineral mass
and being expressed as Fj:

, are calculated by least square method and the like. Herein, "Hj" corresponds to
CT number "Arj" within the error range.
[0040] Step D6 is effected on the two cross sectional images. That is, the CT numbers "Aq1"
and "Aq2" of the third lumbar vertebrae "q" as the objective region in the individual
images are detected.
[0041] A new step D60 is effected on the two cross sectional images. That is, for the individual
images, the CT numbers "Af1" and "Af2" of the sample rod "Sf" of a standard material
equivalent to fat are detected.
[0042] Then, Step D70 is effected in place of Step D7. That is, on the basis of the intercepts
"H1" and "H2" and slopes "G1" and "G2" of the two linear regressions, the CT numbers
"Af1" and "Af2" of the sample rod Sf of a standard material equivalent to fat in the
two cross sectional images, the CT numbers "Ar1" and "Ar2" of the sample rod "Sr"
either of aorta "r" or of the standard material equivalent to blood in the two cross
sectional images, and the CT numbers "Aq1" and "Aq2" of the objective region in the
two cross sectional images, the bone mineral density X of the objective region is
calculated with the correction of the shift due to blood or fat, as described hereinbelow.
[0043] That is, provided that the fat concentration in the objective region is defined as
F, the shift of the CT number due to fat at two levels of tube voltage is expressed
as follows;(Afj - Arj)F. Hence, the CT number without fat effect should be expressed
as

. These should independently meet the linear regression

, so the following equation should be established when true bone mineral density is
defined as "X";

[0044] Based on these equations, the bone mineral density should be represented as follows;

wherein "H1" and "H2" may be used in place of "Ar1" and "Ar2", respectively.
[0045] As has been described above, in accordance with the present invention, the error
factor due to blood is corrected, thereby enabling the correction of the error factor
due to fat, whereby both the error factors are corrected to measure bone mineral density
at a higher precision.
[0046] In the forgoing example, the best mode to calculate bone mineral density has been
explained under the provision that the decrease in CT number due to fat varies depending
on tube voltage and the like. However, more simple calculation may be done when the
shift of the CT number due to fat is defined as constant as "af".
[0047] When the shift of the CT number due to fat is defined as "af", the CT numbers corrected
for the fat effect are (Aq1 - af) and (Aq2 - af), which should satisfy the two linear
regressions, so that the following equation is established when true bone mineral
density is defined as "X";

[0048] On the basis of these equations, bone mineral density is calculated as follows;

[0049] In this case, precision may be decreased more or less. Nevertheless, the phantom
P does not require sample rod "Sf" of a standard material equivalent to fat, or step
D60 is not necessary.
[0050] Furthermore, the order of the steps D2 and D3 may be exchanged in the above procedures,
and these steps may be placed intermediately from the step D1 to the step D4. Also,
the order of the step D6 and the step D60 may be changed, and these steps may be interposed
anywhere from the step D1 to the step D70 in any order. In the example, two levels
of tube voltage are employed for the procedures at the individual steps in the example,
but the steps D1 to D60 may be effected first at one tube voltage, and then, the steps
D1 to D60 may be effected at another tube voltage, followed by step 70.
Industrial Applicability
[0051] According to the CT system, in accordance with the present invention, bone mineral
density is determined on the basis of the corrected CT number capable of more accurately
reproducing the objective region after the correction of error factors such as blood,
and therefore, measurement results may be more accurate.
[0052] Still furthermore, because corrected CT numbers are determined at plural levels of
tube voltage to exclude the effect of fat and the like, measurement results with greater
accuracy can be obtained.
1. Eine CT-Vorrichtung zum Bestimmen einer Knochenmineraldichte eines Objektbereichs
eines Patientenkörpers, mit:
einem Phantom (P), das einen Probestab einer Art eines Standardmaterials (Sr) und
eine Mehrzahl von Probestäben (S1,...,S6), die jeweils mit Wasser-äquivalentem Material
gemischte Knochenmineral-äquivalente Materialien unterschiedlicher Dichten aufweisen,
umfaßt,
Mitteln zum Scannen eines Patientenkörpers mit dem Phantom, das bzw. die eine Röntgenröhre
(3) umfaßt bzw. umfassen,
Mitteln (4) zum Erfassen einer CT-Zahl eines Objektbereichs des Patientenkörpers und
von CT-Zahlen der Probestäbe des Phantoms,
Mitteln (12) zum Bestimmen der Beziehung zwischen den CT-Zahlen und den Knochenmineraldichten
basierend auf den äquivalenten Knochenmineraldichten und den erfaßten CT-Zahlen der
Probestäbe, die jeweils unterschiedliche Dichten der Knochenmineral-äquivalenten Materialien
aufweisen,
dadurch gekennzeichnet, daß diese außerdem aufweist:
Mittel (12) zum Korrigieren der Beziehung zwischen den CT-Zahlen und den Knochenmineraldichten
durch Verwenden der erfaßten CT-Zahl des Probestabs einer Art von Standardmaterial
und Substituieren der CT-Zahl, die von dem Wasser-äquivalenten Material erlangt wurde
und in der CT-Zahl jedes der Mehrzahl der Probestäbe enthalten ist, mit der CT-Zahl
der einen Art von Standardmaterial, wobei die eine Art von Standardmaterial Blut oder
ein Blut-äquivalentes Material ist.
2. Eine CT-Vorrichtung gemäß Anspruch 1, wobei das Phantom außerdem einen Probestab einer
anderen Art von Standardmaterial umfaßt, die Röntgenrohre (3) der Mittel zum Scannen
auf mindestens zwei unterschiedliche Niveaus der Röntgenröhrenspannung eingestellt
werden kann, und die Mittel (12) zum Korrigieren der Beziehung zwischen den CT-Zahlen
und den Knochenmineraldichten außerdem die erfaßte CT-Zahl des Probenstabs der anderen
Art von Standardmaterial verwendet, wobei die andere Art von Standardmaterial ein
Fett-äquivalentes Material ist.
3. Eine CT-Vorrichtung zum Bestimmen einer Knochenmineraldichte eines Objektbereichs
eines Patientenkörpers, mit:
einem Phantom (P) das eine Mehrzahl von Probestäben (S1,...,S6), die jeweils mit Wasser-äquivalentem
Material gemischte Knochemineral-äquivalente Materialien unterschiedlicher Dichten
aufweisen,
Mitteln zum Scannen eines Patientenkörpers mit dem Phantom, das bzw. die eine Röntgenröhre
(3) umfaßt bzw. umfassen,
Mitteln (4) zum Erfassen einer CT-Zahl eines Objektbereichs des Patientenkörpers und
von CT-Zahlen der Probestäbe des Phantoms,
Mitteln (12) zum Bestimmen der Beziehung zwischen den CT-Zahlen und den Knochenmineraldichten
basierend auf den äquivalenten Knochenmineraldichten und den erfaßten CT-Zahlen der
Probestäbe, die jeweils unterschiedliche Dichten der Knochenmineral-äquivalenten Materialien
aufweisen,
dadurch gekennzeichnet, daß diese außerdem aufweist:
Mittel (12) zum Korrigieren der Beziehung zwischen den CT-Zahlen und den Knochenmineraldichten
durch Verwenden einer CT-Zahl von Blut, die von dem Patientenkörper erfaßt wurde,
und Substituieren der CT-Zahl, die von dem Wasseräquivalenten Material erlangt wurde
und in der CT-Zahl jedes der Mehrzahl der Probestäbe enthalten ist, mit der von dem
Patientenkörper erfaßten CT-Zahl von Blut.
4. Eine CT-Vorrichtung gemäß Anspruch 3, wobei das Phantom außerdem einen Probenstab
eines Fett-äquivalenten Materials beinhaltet, die Röntgenröhre (3) der Mittel zum
Scannen in mindestens zwei unterschiedliche Niveaus der Röntgenröhrenspannung eingestellt
werden kann, und die Mittel (12) zum Korrigieren der Beziehung zwischen den CT-Zahlen
und den Knochenmineraldichten außerdem die erfaßte CT-Zahl des Probestabs des Fett-äquivalenten
Materals verwendet.